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Finding the Fourth Proportional to 340,019.76, 510,023.88 and 118,398

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Solution

The fourth proportional to 340,019.76, 510,023.88 and 118,398 is: 177,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,019.76 : 510,023.88 = 118,398 : x
  2. Step 2: Convert to fraction form
    340,019.76/510,023.88 = 118,398/x
  3. Step 3: Cross multiply
    340,019.76x = 510,023.88 × 118,398
  4. Step 4: Simplify right side
    340,019.76x = 60,385,807,344.24
  5. Step 5: Solve for x
    x = 60,385,807,344.24/340,019.76
  6. Step 6: Final answer
    x = 177,594.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.